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Precalculus Plus Integrated Review

This title provides students with curriculum-level precalculus skills integrated with applicable review lessons. The course offers lessons familiar to students entering from a college algebra course, preparing them for the more advanced topics they will cover in a subsequent calculus course—while also targeting specific remediation needs for just-in-time supplementation of foundational concepts.

Updates to the new edition include more robust content; contextualized review lessons; and an updated Guided Notebook with Strategies for Academic Success, Math@Work projects, and video enhancements.

Formats: Software, Guided Notebook, eBook

Product ISBN
Software + eBook 978-1-64277-285-2
Guided Notebook 978-1-64277-306-4
Software + eBook + Guided Notebook 978-1-64277-350-7

Table of Contents

  1. Chapter 0: Strategies for Academic Success
    1. 0.1 How to Read a Math Textbook
    2. 0.2 Tips for Success in a Math Course
    3. 0.3 Tips for Improving Math Test Scores
    4. 0.4 Practice, Patience, and Persistence!
    5. 0.5 Note Taking
    6. 0.6 Do I Need a Math Tutor?
    7. 0.7 Tips for Improving Your Memory
    8. 0.8 Overcoming Anxiety
    9. 0.9 Online Resources
    10. 0.10 Preparing for a Final Math Exam
    11. 0.11 Managing Your Time Effectively
  2. 1.Chapter R: Integrated Review
    1. 1.R.1 Exponents, Prime Numbers, and LCM
    2. 1.R.2 Multiplication and Division with Fractions
    3. 1.R.3 Addition and Subtraction with Fractions
    4. 1.R.4 Proportions
    5. 1.R.5 Decimals, Fractions, and Percents
    6. 1.R.6 The Real Number Line and Absolute Value
    7. 1.R.7 Addition with Real Numbers
    8. 1.R.8 Subtraction with Real Numbers
    9. 1.R.9 Multiplication and Division with Real Numbers
  3. Chapter 1: Algebraic Expressions, Equations, and Inequalities
    1. 1.1 Real Numbers and Algebraic Expressions
    2. 1.2 Properties of Exponents and Radicals
    3. 1.3 Polynomials and Factoring
    4. 1.4 Rational Expressions
    5. 1.5 Complex Numbers
    6. 1.6 Linear Equations in One Variable
    7. 1.7 Linear Inequalities in One Variable
    8. 1.8 Polynomial and Polynomial-Like Equations in One Variable
    9. 1.9 Rational and Radical Equations in One Variable
    10. Chapter 1 Review
  4. 2.Chapter R: Integrated Review
    1. 2.R.1 Formulas in Geometry
    2. 2.R.2 Square Roots and the Pythagorean Theorem
    3. 2.R.3 Evaluating Radicals
    4. 2.R.4 Simplifying Radicals
    5. 2.R.5 Introduction to the Cartesian Coordinate System
    6. 2.R.6 Solving Linear Equations: ax + b = c
    7. 2.R.7 Solving Linear Equations: ax + b = cx + d
    8. 2.R.8 Solving Linear Inequalities in One Variable
    9. 2.R.9 Solving Radical Equations
  5. Chapter 2: Equations and Inequalities in Two Variables
    1. 2.1 The Cartesian Coordinate System
    2. 2.2 Circles
    3. 2.3 Linear Equations in Two Variables
    4. 2.4 Slope and Forms of Linear Equations
    5. 2.5 Parallel and Perpendicular Lines
    6. 2.6 Linear Inequalities in Two Variables
    7. Chapter 2 Review
  6. 3.Chapter R: Integrated Review
    1. 3.R.1 Introduction to Functions and Function Notation
    2. 3.R.2 Translating English Phrases and Algebraic Expressions
    3. 3.R.3 Applications: Number Problems and Consecutive Integers
    4. 3.R.4 Greatest Common Factor (GCF) and Factoring by Grouping
    5. 3.R.5 Factoring Trinomials: x^2 + bx + c
    6. 3.R.6 Factoring Trinomials: ax^2 + bx + c
    7. 3.R.7 Review of Factoring Techniques
    8. 3.R.8 Solving Quadratic Equations by Factoring
    9. 3.R.9 Multiplication and Division with Complex Numbers
    10. 3.R.10 Quadratic Equations: The Quadratic Formula
  7. Chapter 3: Relations, Functions, and Their Graphs
    1. 3.1 Relations and Functions
    2. 3.2 Linear Functions
    3. 3.3 Quadratic Functions
    4. 3.4 Other Common Functions
    5. 3.5 Variation and Multivariable Functions
    6. 3.6 Mathematical Models
    7. Chapter 3 Review
  8. 4.Chapter R: Integrated Review
    1. 4.R.1 Order of Operations with Real Numbers
    2. 4.R.2 Simplifying and Evaluating Algebraic Expressions
    3. 4.R.3 Multiplication with Polynomials
    4. 4.R.4 Division with Polynomials
    5. 4.R.5 Introduction to Rational Expressions
    6. 4.R.6 Multiplication and Division with Rational Expressions
    7. 4.R.7 Simplifying Complex Fractions
  9. Chapter 4: Working with Functions
    1. 4.1 Transformations of Functions
    2. 4.2 Properties of Functions
    3. 4.3 Combining Functions
    4. 4.4 Inverses of Functions
    5. Chapter 4 Review
  10. Chapter 5: Polynomial and Rational Functions
    1. 5.1 Polynomial Functions and Polynomial Inequalities
    2. 5.2 Polynomial Division and the Division Algorithm
    3. 5.3 Locating Real Zeros of Polynomial Functions
    4. 5.4 The Fundamental Theorem of Algebra
    5. 5.5 Rational Functions and Rational Inequalities
    6. Chapter 5 Review
  11. 6.Chapter R: Integrated Review
    1. 6.R.1 Rules for Exponents
    2. 6.R.2 Power Rules for Exponents
    3. 6.R.3 Rational Exponents
    4. 6.R.4 Introduction to Logarithmic Functions
  12. Chapter 6: Exponential and Logarithmic Functions
    1. 6.1 Exponential Functions and Their Graphs
    2. 6.2 Exponential Models
    3. 6.3 Logarithmic Functions and Their Graphs
    4. 6.4 Logarithmic Properties and Models
    5. 6.5 Exponential and Logarithmic Equations
    6. Chapter 6 Review
  13. 7.Chapter R: Integrated Review
    1. 7.R.1 Angles
    2. 7.R.2 Triangles
  14. Chapter 7: Trigonometric Functions
    1. 7.1 Radian and Degree Measure
    2. 7.2 Trigonometric Functions and Right Triangles
    3. 7.3 Trigonometric Functions and the Unit Circle
    4. 7.4 Graphs of Sine and Cosine Functions
    5. 7.5 Graphs of Other Trigonometric Functions
    6. 7.6 Inverse Trigonometric Functions
    7. Chapter 7 Review
  15. Chapter 8: Trigonometric Identities and Equations
    1. 8.1 Fundamental Trigonometric Identities
    2. 8.2 Sum and Difference Identities
    3. 8.3 Product-Sum Identities
    4. 8.4 Trigonometric Equations
    5. Chapter 8 Review
  16. Chapter 9: Additional Topics in Trigonometry
    1. 9.1 The Law of Sines
    2. 9.2 The Law of Cosines
    3. 9.3 Polar Coordinates and Polar Equations
    4. 9.4 Parametric Equations
    5. 9.5 Trigonometric Form of Complex Numbers
    6. 9.6 Vectors in the Cartesian Plane
    7. 9.7 The Dot Product
    8. 9.8 Hyperbolic Functions
    9. Chapter 9 Review
  17. 10.Chapter R: Integrated Review
    1. 10.R.1 Special Products of Binomials
    2. 10.R.2 Special Factoring Techniques
  18. Chapter 10: Conic Sections
    1. 10.1 Ellipses
    2. 10.2 Parabolas
    3. 10.3 Hyperbolas
    4. 10.4 Rotation of Conic Sections
    5. 10.5 Polar Equations of Conic Sections
    6. Chapter 10 Review
  19. 11.Chapter R: Integrated Review
    1. 11.R.1 Systems of Linear Equations: Solutions by Graphing
    2. 11.R.2 Systems of Linear Equations: Solutions by Substitution
    3. 11.R.3 Systems of Linear Equations: Solutions by Addition
    4. 11.R.4 Systems of Linear Inequalities
  20. Chapter 11: Systems of Equations and Inequalities
    1. 11.1 Solving Systems of Linear Equations by Substitution and Elimination
    2. 11.2 Matrix Notation and Gauss-Jordan Elimination
    3. 11.3 Determinants and Cramer's Rule
    4. 11.4 Basic Matrix Operations
    5. 11.5 Inverses of Matrices
    6. 11.6 Partial Fraction Decomposition
    7. 11.7 Systems of Linear Inequalities and Linear Programming
    8. 11.8 Systems of Nonlinear Equations and Inequalities
    9. Chapter 11 Review
  21. Chapter 12: Sequences, Series, Combinatorics, and Probability
    1. 12.1 Sequences and Series
    2. 12.2 Arithmetic Sequences and Series
    3. 12.3 Geometric Sequences and Series
    4. 12.4 Mathematical Induction
    5. 12.5 Combinatorics
    6. 12.6 Probability
    7. Chapter 12 Review
  22. Chapter 13: An Introduction to Limits, Continuity, and the Derivative
    1. 13.1 Rates of Change and Tangents
    2. 13.2 Limits in the Plane
    3. 13.3 The Mathematical Definition of Limit
    4. 13.4 Determining Limits of Functions
    5. 13.5 Continuity
    6. 13.6 The Derivative
    7. Chapter 13 Review